Basic Math Examples

$(5 y^{6} - 9 y^{2} + 2 y) - (5 y^{6} - 10 y^{2} - 4 y)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 y^{6} - 9 y^{2} + 2 y - (5 y^{6}) - (- 10 y^{2}) - (- 4 y)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $5$ by $- 1$ .

$5 y^{6} - 9 y^{2} + 2 y - 5 y^{6} - (- 10 y^{2}) - (- 4 y)$

Step 1.2.2

Multiply $- 10$ by $- 1$ .

$5 y^{6} - 9 y^{2} + 2 y - 5 y^{6} + 10 y^{2} - (- 4 y)$

Step 1.2.3

Multiply $- 4$ by $- 1$ .

$5 y^{6} - 9 y^{2} + 2 y - 5 y^{6} + 10 y^{2} + 4 y$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $5 y^{6} - 9 y^{2} + 2 y - 5 y^{6} + 10 y^{2} + 4 y$ .

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Step 2.1.1

Subtract $5 y^{6}$ from $5 y^{6}$ .

$- 9 y^{2} + 2 y + 0 + 10 y^{2} + 4 y$

Step 2.1.2

Add $- 9 y^{2} + 2 y$ and $0$ .

$- 9 y^{2} + 2 y + 10 y^{2} + 4 y$

Step 2.2

Add $- 9 y^{2}$ and $10 y^{2}$ .

$y^{2} + 2 y + 4 y$

Step 2.3

Add $2 y$ and $4 y$ .

$y^{2} + 6 y$